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nLab > Latest Changes: von Neumann algebra factor

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2010
    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeDec 15th 2010
    • (edited Dec 15th 2010)

    I think it will be difficult to find this entry. I mean if I want an entry about factors I will hardly type specific phrase von Neumann algebra factor. On the other hand having factor means having many meanings of the word. Should we have a disambiguation page for factor or what ?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 15th 2010

    I created factor

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2013
    • (edited Apr 24th 2013)

    added a pointer at von Neumann algebra factor to the recent

    • Vaughan Jones, Scott Morrison, Noah Snyder, The classification of subfactors of index at most 5 (arXiv:1304.6141)

    With a little luck somebody will feel insoired to add a bit of content to that entry (or better yet, creae a dedicated one on subfactors)…

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeApr 24th 2013

    Urs, 3

    factor in a product;

    von Neumann algebra factor

    To some extent, the second is a special case of the first, when one writes an operator algebra by direct integrals, am I right ?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2013
    • (edited Apr 24th 2013)

    I guess something like this is where the terminology comes from. The answer is probably in

    • John von Neumann, On rings of operators, reduction theory, Annals of Mathematics Second Series, Vol. 50, No. 2 (1949) (jstor)
    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJan 30th 2019

    Added the definitions of type I, type II_1, type II_∞, type III_0, type III_1, and type III_λ factors.

    diff, v9, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 11th 2023

    added pointer to this week’s

    diff, v12, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2023
    • (edited Aug 14th 2023)

    I have added (here) the original references

    and a pointer to

    • Miklos Rédei, Why John von Neumann did not Like the Hilbert Space formalism of quantum mechanics (and what he liked instead), Studies in History and Philosophy of Modern Physics 27 4 (1996) 493-510 [doi:10.1016/S1355-2198(96)00017-2]

    on how von Neumann came to studying factors motivated from considerations in quantum logic

    diff, v13, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeAug 14th 2023
    • (edited Aug 14th 2023)

    also added (here) pointer to the recent slew of articles by Witten on vN factors

    diff, v13, current

  11. Added reference to Witten’s lecture notes on algebraic quantum field theory

    WWW

    diff, v14, current

  12. Added reference to Witten’s lecture notes on algebraic quantum field theory

    WWW

    diff, v14, current

  13. Added reference to Witten’s lecture notes on algebraic quantum field theory

    WWW

    diff, v15, current

    • CommentRowNumber14.
    • CommentAuthorUrs
    • CommentTimeApr 1st 2024

    added pointer to today’s

    • Jonathan Sorce, Notes on the type classification of von Neumann algebras [arXiv:2302.01958]

    diff, v16, current

    • CommentRowNumber15.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2024

    added pointer to:

    • Alain Connes, Structure Theory for Type III Factors, Proceedings of the International Congress of Mathematics, Vancouver 1975, vol 2 (1975) [pdf]

    diff, v17, current

1 to 15 of 15

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